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若x.y.z均不为零,且{2x+y-z=0,x+8y+2z=o,则x:y:z=?如题
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若x.y.z均不为零,且{2x+y-z=0,x+8y+2z=o,则x:y:z=?如题
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答案和解析
{2x+y-z=0 ① {x+8y+2z=o② ②X2 :2x+16y+4z=0 (3) ①-(3):-15y-5z=0 -5z=15y z=-3y ②X-2:-4x-2y+2z=0 (4) (4)-② :-5x-10y=0 -5x=10y x=-2y 则:-2y:y :-3y -2:1:-3
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